76743300 has 72 divisors (see below), whose sum is σ = 222923232. Its totient is φ = 20384000.

The previous prime is 76743283. The next prime is 76743301. The reversal of 76743300 is 334767.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (76743301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147040 + ... + 147560.

It is an arithmetic number, because the mean of its divisors is an integer number (3096156).

Almost surely, 2^76743300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76743300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111461616).

76743300 is an abundant number, since it is smaller than the sum of its proper divisors (146179932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76743300 is a wasteful number, since it uses less digits than its factorization.

76743300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

The square root of 76743300 is about 8760.3253364244. The cubic root of 76743300 is about 424.9587964668.

The spelling of 76743300 in words is "seventy-six million, seven hundred forty-three thousand, three hundred".